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Finding the Third Proportional to 109,663.88 and 165,305.81

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Solution

The third proportional to 109,663.88 and 165,305.81 is: 249,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,663.88 : 165,305.81 = 165,305.81 : x
  2. Step 2: Convert to fraction form
    109,663.88/165,305.81 = 165,305.81/x
  3. Step 3: Cross multiply
    109,663.88x = 165,305.81 × 165,305.81
  4. Step 4: Simplify right side
    109,663.88x = 27,326,011,646.29
  5. Step 5: Solve for x
    x = 27,326,011,646.29/109,663.88
  6. Step 6: Final answer
    x = 249,179.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.